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Mark is 7 less than 2 times as old as Tim. Together there age is 59, how old is Tim?

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2 votes

Answer:

The age of Tim is;


22\text{ years}

Step-by-step explanation:

Let x represent Mark's age and y represent Tim's age.

Given that;

Mark is 7 less than 2 times as old as Tim;


x=2y-7\text{ -----1}

Together there age is 59;


x+y=59\text{ ------2}

Substituting equation 1 to equation 2;


\begin{gathered} x+y=59 \\ (2y-7)+y=59 \\ 2y+y-7=59 \\ 3y-7=59 \\ 3y=59+7 \\ 3y=66 \\ \text{divide both sides by 3;} \\ (3y)/(3)=(66)/(3) \\ y=22 \end{gathered}

Therefore, the age of Tim is;


22\text{ years}

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